2006-09-18T01:17:36ZFluxBBhttp://www.mathisfunforum.com/viewtopic.php?id=4266Yes, I get you.

Edit: That should probably be hidden or something.

]]>http://www.mathisfunforum.com/profile.php?id=6412006-09-18T01:17:36Zhttp://www.mathisfunforum.com/viewtopic.php?pid=41532#p41532Not exactly, mathsyperson. It's not the fact that a number can't be wrote as a/b which makes it impossible to tell. It's the number of numbers that can't be written as a/b which does.

Does that make sense? In a sense, irrational numbers have a "higher infinity" than rationals. There are more of them, in a sense, even though there are both an infinite amount of rationals and irrationals.

]]>http://www.mathisfunforum.com/profile.php?id=21432006-09-18T00:53:01Zhttp://www.mathisfunforum.com/viewtopic.php?pid=41530#p41530Ah, so by going at a speed of π mph it can evade our bombs forever. Pesky battleship.]]>http://www.mathisfunforum.com/profile.php?id=6412006-09-17T17:55:43Zhttp://www.mathisfunforum.com/viewtopic.php?pid=41432#p41432

]]>http://www.mathisfunforum.com/profile.php?id=6412006-09-15T19:46:12Zhttp://www.mathisfunforum.com/viewtopic.php?pid=41245#p41245Well, for anyone still trying to figure it out, here is a really big hint:

And if you just want to know the solution (I told you there was one!) - here it is:

]]>http://www.mathisfunforum.com/profile.php?id=47412006-09-14T19:35:21Zhttp://www.mathisfunforum.com/viewtopic.php?pid=41198#p41198Is anyone still trying to solve this? Or can we ask for the solution?]]>http://www.mathisfunforum.com/profile.php?id=21432006-09-14T00:52:38Zhttp://www.mathisfunforum.com/viewtopic.php?pid=41127#p4112746427. is where it is on the number line, i win.]]>http://www.mathisfunforum.com/profile.php?id=29642006-09-13T12:19:32Zhttp://www.mathisfunforum.com/viewtopic.php?pid=41096#p41096Ninja 101 wrote:

no the ship is my personal clipper and is flying northeast to mars.

Now all you have to do is point out where mars is on the number line and you've got your answer

]]>http://www.mathisfunforum.com/profile.php?id=47412006-09-12T12:47:53Zhttp://www.mathisfunforum.com/viewtopic.php?pid=41039#p41039no the ship is my personal clipper and is flying northeast to mars.]]>http://www.mathisfunforum.com/profile.php?id=29642006-09-12T12:23:21Zhttp://www.mathisfunforum.com/viewtopic.php?pid=41034#p41034I realised that it would need to cover all the negative numbers, but since 0 to infinity is an infinity of numbers, then if the algorithm works for that range then it must also work for the -infinity to infinity. And 0, 1, 2, 3 is easier to write than -∞, -∞+1, -∞+2 etc.

So I'm just making it simpler to write, but it shouldn't make it any easier to solve than it was before.

Your hint says that I should think of the ship as [being at point x +yt at time t] but I don't really see how that helps. Then again, it is very late. I'll ponder this further and see if I get any insight in my sleep.

]]>http://www.mathisfunforum.com/profile.php?id=6412006-09-12T00:20:49Zhttp://www.mathisfunforum.com/viewtopic.php?pid=41012#p41012As an aside, you can make a very minor variation to this algorithm so that it will work for a ship whose starting point and speed are any rational number, but you cannot do it for a ship whose starting point and speed are any real number.]]>http://www.mathisfunforum.com/profile.php?id=47412006-09-11T23:37:29Zhttp://www.mathisfunforum.com/viewtopic.php?pid=41007#p41007